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Finding the Fourth Proportional to 6,146.62, 8,482.08 and 3,494.02

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Solution

The fourth proportional to 6,146.62, 8,482.08 and 3,494.02 is: 4,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.62 : 8,482.08 = 3,494.02 : x
  2. Step 2: Convert to fraction form
    6,146.62/8,482.08 = 3,494.02/x
  3. Step 3: Cross multiply
    6,146.62x = 8,482.08 × 3,494.02
  4. Step 4: Simplify right side
    6,146.62x = 29,636,557.16
  5. Step 5: Solve for x
    x = 29,636,557.16/6,146.62
  6. Step 6: Final answer
    x = 4,821.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.